A normal at any point (x, y) to the curve y = f(x) cuts triangle of unit area with the axes, the differential equation of curve is

1
 \(y^2 -x^2(\frac{dy}{dx})^2 = 4 \frac{dy}{dx}\)
2
\(x^2 -y^2(\frac{dy}{dx})^2 = \frac{dy}{dx}\)
3
\(x+y(\frac{dy}{dx}) =y \)
4
None of these

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